Least Common Multiple of 890/42, 663/29, 691/356

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023


Know Least Common Multiple of fractions 890/42, 663/29, 691/356 quickly i.e. 407738370 the smallest number that is divisible by all numbers by taking the help of LCM of Fractions Calculator.

Least Common Multiple (LCM) of 890/42, 663/29, 691/356 is 407738370.

LCM(890/42, 663/29, 691/356) = 407738370

LCM of 890/42, 663/29, 691/356

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

LCM of:

Least Common Multiple of 890/42,663/29,691/356

Given numbers are 890/42,663/29,691/356

Formula to find LCM of Fractions is

LCM = LCM of Numerators/GCF of Denominators

As per the formula LCM of Fractions let’s split into two parts and find the LCM of Numerators and GCF of Denominators

In the given fractions LCM of Numerators means LCM of 890,663,691

Least Common Multiple of Numerators i.e. LCM of 890,663,691 is 407738370.

GCF of Denominators means GCF of 42,29,356 as per the given fractions.

GCF of 42,29,356 is 1 as it is the largest common factor for these numbers.

Lets's calculate LCM of 890,663,691

LCM of Fractions 890/42,663/29,691/356 is 407738370

Given numbers has no common factors except 1. So, there LCM is their product i.e 407738370

Least Common Multiple of 890,663,691 with GCF Formula

Least Common Multiple of 890,663,691 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 890,663,691 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(890,663,691) = 1

common factors(in case of two or more numbers have common factors) = 1

GCF(890,663,691) x common factors =1 x 1 = 1

LCM(890,663,691) = ( 890 × 663 × 691 ) / 1

LCM(890,663,691) = 407738370 / 1

LCM(890,663,691) = 407738370


Lets's calculate GCF of 42,29,356

∴ So GCF of numbers is 1 because of no common factors present between them.

Thus LCM of Fractions = LCM of Numerators/GCF of Denominators = 407738370/1

Therefore the LCM of Fractions 890/42,663/29,691/356 is 407738370

Greatest Common Factor of 42,29,356 By Matching Biggest Common Factor Method

Greatest Common Factor of 42,29,356 By Matching Biggest Common Factor Method

Factors of 42

List of positive integer factors of 42 that divides 42 without a remainder.

1,2,3,6,7,14,21,42

Factors of 29

List of positive integer factors of 29 that divides 29 without a remainder.

1,29

Factors of 356

List of positive integer factors of 356 that divides 356 without a remainder.

1,2,4,89,178,356

Greatest Common Factor

We found the factors 42,29,356 . The biggest common factor number is the GCF number.
So the greatest common factor 42,29,356 is 1.


LCM of Fractions Calculation Examples

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Frequently Asked Questions on Fractional LCM of 890/42, 663/29, 691/356

1. How to find LCM in Fractions?

Answer: LCM of fractions can be found using the simple formula LCM of Fractions = LCM of Numerators/GCF of Denominators.

2. What is the LCM of Fractions for 890/42, 663/29, 691/356?

Answer: LCM of Numerators as per given numbers 890/42, 663/29, 691/356 is

LCM of Numerators i.e. for 890,663,691 is 407738370

GCF of denominators i.e. for 42,29,356 is 1.

Thus, LCM of Fractions is 407738370.Finally, LCM of Fractions for 890/42, 663/29, 691/356 is 407738370.